Publications

• Article dans une revue

Stability results of some first order viscous hyperbolic systems

Serge Nicaise

In this paper, we first introduce an abstract viscous hyperbolic problem for which we prove exponential decay under appropriated assumptions. We then give some illustrative examples, like the linearized viscous Saint-Venant system. In order to achieve the optimal decay rate, we also perform a…

ESAIM: Control, Optimisation and Calculus of Variations, 2019, 25, pp.33. ⟨10.1051/cocv/2018020⟩. ⟨hal-02952637⟩

• Article dans une revue

The Helmholtz decomposition in weighted L^p spaces in cones

Serge Nicaise

In this paper we prove the Helmholtz decomposition in conical domains of $R^3$ in weighted $L^p_\beta$ spaces under a spectral condition on $\beta, p$. The basic bricks are the transformation of the original problem into a problem set in cylindrical domains and the combination of a priori bounds…

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2018, 25 (5), ⟨10.36045/bbms/1547780431⟩. ⟨hal-01541298⟩

• Article dans une revue

Femtosecond laser impact on calcium phosphate bioceramics assessed by micro-Raman spectroscopy and osteoblastic behaviour

Marie Lasgorceix, Liliana Grenho, Maria Helena Fernandes, Cédric Ott, Laurent Boilet, Anne Leriche, Fernando Monteiro, Francis Cambier, Stéphane Hocquet

The present work is an investigation of the biological response to the presence of grooves 3 μm deep, 15 μm wide and spaced by 100 μm, produced with femtosecond laser on β-tricalcium phosphate (β-TCP). The heat affected zone generated by the laser irradiation was investigated. Micro-Raman…

Journal of the European Ceramic Society, 2018, 38 (16), pp.5545-5553. ⟨10.1016/j.jeurceramsoc.2018.07.048⟩. ⟨hal-03080557⟩

• Article dans une revue

Crosslinking chemistry of poly(vinylmethyl-<i>co</i>-methyl)silazanes toward low-temperature formable preceramic polymers as precursors of functional aluminium-modified Si–C–N ceramics

Diane Fonblanc, David Lopez-Ferber, Mélanie Wynn, Abhijeet Lale, Anne Soleilhavoup, Anne Leriche, Yuji Iwamoto, Fabrice Rossignol, Christel Gervais, Samuel Bernard

Crosslinking chemistry of a liquid poly(vinylmethyl-co-methyl)silazane with an alane hydride-based complex according to Si : Al ratios varying from 5 to 2.5 has been investigated in detail through the characterization of the as-obtained polymers using solid-state NMR, FT-IR and elemental analyses.…

• Article dans une revue

On the consensus tracking investigation for multi-agent systems on time scale via matrix-valued Lyapunov functions

Serhii Babenko, Michael Defoort, Mohamed Djemai, Serge Nicaise

This paper is devoted to the leader–follower consensus problem for high-order multi-agent systems with inherent nonlinear dynamics evolving on an arbitrary time domain. This problem is investigated using the time scale theory. Based on this theory, some sufficient conditions are derived to…

Automatica, 2018, 97, pp.316-326. ⟨10.1016/j.automatica.2018.08.003⟩. ⟨hal-03227535⟩

• Article dans une revue

Distributed leader-follower consensus for a class of semilinear second order multi-agent systems using time scale theory

Serhii Babenko, Michael Defoort, Mohamed Djemai, Serge Nicaise

The problem of distributed leader‐follower consensus for second‐order linear multiagent systems with unknown nonlinear inherent dynamics is investigated in this paper. It is assumed that the dynamic of each agent is described by a semilinear second‐order dynamic equation on an arbitrary time scale…

International Journal of Robust and Nonlinear Control, 2018, 29 (1), pp.433-450. ⟨10.1002/rnc.4406⟩. ⟨hal-03479682⟩

• Article dans une revue

Drinfeld–Sokolov reduction in quantum algebras: canonical form of generating matrices

Dimitri Gurevich, Pavel Saponov, Dmitry Talalaev

We define the second canonical forms for the generating matrices of the Reflection Equation algebras and the braided Yangians, associated with all even skew-invertible involutive and Hecke symmetries. By using the Cayley–Hamilton identities for these matrices, we show that they are similar to their…

Letters in Mathematical Physics, 2018, 108 (10), p. 2303-2314. ⟨10.1007/s11005-018-1084-x⟩. ⟨hal-03165329⟩

• Article dans une revue

The radiative transfer equation with a nonhomogeneous reflectivity boundary condition coupled with the heat conduction equation

Luc Paquet, Hawraa Nabolsi

In this paper, we make a rigorous mathematical analysis of the radiative heating of a semitransparent body made of a glass by a black radiative source surrounding it. This requires the study of the coupling between quasi‐steady radiative‐transfer boundary value problems with nonhomogeneous…

Mathematical Methods in the Applied Sciences, 2018, 41 (13), pp.5254-5273. ⟨10.1002/mma.5077⟩. ⟨hal-03163754⟩

• Article dans une revue

A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ,μ)-spaces

Alfonso Carriazo, Veronica Martin-Molina, Luc Vrancken

We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of (κ,μ)-spaces with Boeckx invariant I≤−1. In particular, we prove that such submanifolds must be, up to local isometries, among the examples that we explicitly construct

Annals of Global Analysis and Geometry, 2018, 54 (2), pp.173-185. ⟨10.1007/s10455-018-9597-1⟩. ⟨hal-03722206⟩

• Article dans une revue

Alumina Porous Ceramics Obtained by Freeze Casting: Structure and Mechanical Behaviour under Compression

Dominique Hautcoeur, Véronique Lardot, Francis Cambier, Anne Leriche, Maurice Gonon, Carmen Baudin

The aim of the work is to analyse the mechanical behaviour of anisotropic porous alumina ceramics processed by freeze casting (ice templating). The freeze cast specimens were characterised by a lamellar structure with ellipsoidal pore shape, with a size ranging from 6 to 42 µm and 13 to 300 µm for…

Ceramics, 2018, 1 (1), pp.83-97. ⟨10.3390/ceramics1010008⟩. ⟨hal-03477168⟩